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Simplifying 27 + -5v = -8v + -4(v + 2) Reorder the terms: 27 + -5v = -8v + -4(2 + v) 27 + -5v = -8v + (2 * -4 + v * -4) 27 + -5v = -8v + (-8 + -4v) Reorder the terms: 27 + -5v = -8 + -8v + -4v Combine like terms: -8v + -4v = -12v 27 + -5v = -8 + -12v Solving 27 + -5v = -8 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 27 + -5v + 12v = -8 + -12v + 12v Combine like terms: -5v + 12v = 7v 27 + 7v = -8 + -12v + 12v Combine like terms: -12v + 12v = 0 27 + 7v = -8 + 0 27 + 7v = -8 Add '-27' to each side of the equation. 27 + -27 + 7v = -8 + -27 Combine like terms: 27 + -27 = 0 0 + 7v = -8 + -27 7v = -8 + -27 Combine like terms: -8 + -27 = -35 7v = -35 Divide each side by '7'. v = -5 Simplifying v = -5
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